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Side A of Tangential Quadrilateral is one of the sides of the four sides of the Tangential quadrilateral. A tangential quadrilateral is a quadrilateral that has an incircle (a circle tangent to all four sides).
The calculator uses the formula:
Where:
Explanation: In a tangential quadrilateral, the sums of lengths of opposite sides are equal. This formula calculates Side A when the other three sides are known.
Details: Calculating side lengths in tangential quadrilaterals is important in geometry problems, architectural design, and various engineering applications where precise measurements of quadrilateral shapes with incircles are required.
Tips: Enter all three known side lengths in meters. All values must be non-negative. The calculator will compute Side A using the formula S_a = S_b + S_d - S_c.
Q1: What is a tangential quadrilateral?
A: A tangential quadrilateral is a quadrilateral that has an incircle, meaning a circle can be inscribed that is tangent to all four sides.
Q2: Why does this formula work?
A: In a tangential quadrilateral, the sums of lengths of opposite sides are equal (Pitot theorem). Therefore, S_a + S_c = S_b + S_d, which can be rearranged to S_a = S_b + S_d - S_c.
Q3: What are the units used in this calculator?
A: The calculator uses meters as the unit of measurement, but the formula works with any consistent unit system.
Q4: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal inputs with up to 4 decimal places precision.
Q5: What if the result is negative?
A: A negative result indicates that the input values may not form a valid tangential quadrilateral, as side lengths cannot be negative in reality.